Journal
AMERICAN MATHEMATICAL MONTHLY
Volume 125, Issue 6, Pages 554-557Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00029890.2018.1449556
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We show how to modify the last term of the partial sum of an alternating series so as to get an upper bound on the limit better than the standard one obtained by truncation. The proof relies on a surprising inequality.
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